An arithmetic progression consists of positive integers
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
An arithmetic progression consists of positive integers. The sum of the first five terms is 40 and the sum of the first eight terms is 100.
Answer the questions below.
(i) Find the first term and common difference of the progression.
(ii) Determine the least number of terms whose sum exceeds 500.
(iii) Show that no other arithmetic progression of positive integers satisfies the two given conditions simultaneously.